Book Review ?Traffic Flow on Networks by Benedetto Piccoli and Mauro Garavello

This is a very nice book, on an important subject: the description of traffic flow on networks, implicitly the description via Partial Differential Equations. The book is rather mathematically oriented, which could be a drawback in view of the wide domain of applications of this field and therefore of the huge cultural gaps between potential readers. However, on one hand modeling the numerous varieties of junctions can be so tricky and so obscure that each scientific community needs a clear exposition and clear statements, and on the other hand, precisely the book is very well written and uses the minimal amount of sophisticated mathematics compatible with the subject. I definitely recommend it in particular to any graduate student willing to enter this field.

Professor Michel Rascle